• The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional...
    22 KB (2,700 words) - 09:39, 29 May 2024
  • Thumbnail for Thomas Callister Hales
    discrete geometry, he settled the Kepler conjecture on the density of sphere packings and the honeycomb conjecture. In 2014, he announced the completion...
    11 KB (962 words) - 16:59, 17 May 2024
  • Thumbnail for Johannes Kepler
    later became known as the Kepler conjecture, a statement about the most efficient arrangement for packing spheres. Kepler wrote the influential mathematical...
    102 KB (12,601 words) - 04:57, 12 July 2024
  • Thumbnail for Ulam's packing conjecture
    conjecture is therefore related to the Kepler conjecture about sphere packing. Since the solution to the Kepler conjecture establishes that identical balls...
    4 KB (514 words) - 06:53, 8 October 2023
  • complexity theory, information theory, and graph theory. In 1998, the Kepler conjecture on sphere packing seemed to also be partially proven by computer....
    162 KB (15,945 words) - 15:38, 14 August 2024
  • Thumbnail for Circle packing
    packing in a square Circle packing in a circle Inversive distance Kepler conjecture Malfatti circles Packing problem Chang, Hai-Chau; Wang, Lih-Chung...
    11 KB (1,307 words) - 12:16, 13 September 2023
  • Ullmo, 1998, Shou-Wu Zhang, 1998) Kepler conjecture (Samuel Ferguson, Thomas Callister Hales, 1998) Dodecahedral conjecture (Thomas Callister Hales, Sean...
    190 KB (19,544 words) - 11:00, 17 August 2024
  • Callister Hales (almost certainly) proves the Kepler conjecture. 1999 – the full Taniyama–Shimura conjecture is proven. 2000 – the Clay Mathematics Institute...
    64 KB (7,783 words) - 19:20, 13 August 2024
  • the Kepler conjecture). He also investigated the sphere packing problem. He was the first to show, in 1953, that proof of the Kepler conjecture can be...
    26 KB (2,552 words) - 00:46, 18 June 2024
  • Thumbnail for Carl Friedrich Gauss
    his arguments, proved the central conjecture, and remarked that this theorem is equivalent to the Kepler conjecture for regular arrangements. In two papers...
    181 KB (18,066 words) - 07:40, 14 August 2024